I had always understood the term "deep edges" in the sense that gmyers gives -- the "depth" of the edge referring to to angle that the blade makes with the ice, rather than how "deep" the blade sinks into the surface or anything like that (?)

The ISU documents about GOEs and PCSs also use the word "clarity" a lot. I assume that means in particular, that if you are supposed to be on a particular edge then this ought to be clear -- as evidenced by the "depth," which ideally should be obvious to the naked eye.

So speed, and how it is achieved, depth/clarity of the edge as it relates to the position, and control of upper body when changing positions.